Article
Open Access
On the q-Hermite polynomials and their relationship with some other families of orthogonal polynomials
Published/Copyright:
May 10, 2017
Received: 2011-11-4
Revised: 2012-5-15
Published Online: 2017-5-10
Published in Print: 2013-12-1
© 2013 Paweł J. Szabłowski, published by De Gruyter Open
Articles in the same Issue
- On the category of pseudo-BCI-algebras
- Some new generalizations of Maroni inequality on time scales
- Hermite–Hadamard inequalities for convex set-valued functions
- On the generalized order and generalized type of entire monogenic functions
- On the q-Hermite polynomials and their relationship with some other families of orthogonal polynomials
- Second order abstract differential equations of elliptic type set in ℝ+
- Some convergence results for nonlinear singular integral operators
- Injective composition operators on Lorentz–Bochner spaces
- Common fixed point theorems under contractive conditions of integral type in symmetric spaces
- Convergence of an implicit iteration process with errors for two asymptotically nonexpansive mappings
- The alpha-version of the Stewart’s theorem
Keywords for this article
q-Hermite;
Al-Salam–Chihara;
Rogers–Szegö;
Chebyshev polynomials;
q-ultraspherical polynomials;
summing kernels;
generalization of Poisson–Mehler kernel;
generalization of Kibble–Slepian formula
Creative Commons
BY-NC-ND 3.0
Articles in the same Issue
- On the category of pseudo-BCI-algebras
- Some new generalizations of Maroni inequality on time scales
- Hermite–Hadamard inequalities for convex set-valued functions
- On the generalized order and generalized type of entire monogenic functions
- On the q-Hermite polynomials and their relationship with some other families of orthogonal polynomials
- Second order abstract differential equations of elliptic type set in ℝ+
- Some convergence results for nonlinear singular integral operators
- Injective composition operators on Lorentz–Bochner spaces
- Common fixed point theorems under contractive conditions of integral type in symmetric spaces
- Convergence of an implicit iteration process with errors for two asymptotically nonexpansive mappings
- The alpha-version of the Stewart’s theorem
